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      Question

      The ratio of the male to female employees in the company

      in 2015 was 5:4, respectively. In 2016, the male employees and female employees increased by 18% and 20%, respectively. If the total number of employees in 2016 was 3852, then find the number of female employees in 2015.
      A 1260 Correct Answer Incorrect Answer
      B 1560 Correct Answer Incorrect Answer
      C 1440 Correct Answer Incorrect Answer
      D 1640 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the number of male and female employees in 2015 be 5x and 4x, respectively.
      According to question,
      1.18 × 5x + 1.2 × 4x = 3852
      5.9x + 4.8x = 3852
      10.7x = 3852, x = 360
      So, required number of female employees = 4x = 1440

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